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Volume 34, Issue 1
On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids

Shu Wang & Fang Yuan

J. Part. Diff. Eq., 34 (2021), pp. 14-41.

Published online: 2021-01

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  • Abstract

The aim of this paper is to explore the free boundary problem for the Non-Newtonian shear thickening fluids. These fluids not only have vacuum, but also have strong nonlinear properties. In this paper, a class of approximate solutions is first constructed, and some uniform estimates are obtained for these approximate solutions. Finally, the existence of free boundary problem solutions is proved by these uniform estimates.

  • AMS Subject Headings

35Q35, 76A05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wangshu@bjut.edu.cn (Shu Wang)

yuanfangrose@163.com (Fang Yuan)

  • BibTex
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@Article{JPDE-34-14, author = {Wang , Shu and Yuan , Fang}, title = {On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {34}, number = {1}, pages = {14--41}, abstract = {

The aim of this paper is to explore the free boundary problem for the Non-Newtonian shear thickening fluids. These fluids not only have vacuum, but also have strong nonlinear properties. In this paper, a class of approximate solutions is first constructed, and some uniform estimates are obtained for these approximate solutions. Finally, the existence of free boundary problem solutions is proved by these uniform estimates.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v34.n1.2}, url = {http://global-sci.org/intro/article_detail/jpde/18552.html} }
TY - JOUR T1 - On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids AU - Wang , Shu AU - Yuan , Fang JO - Journal of Partial Differential Equations VL - 1 SP - 14 EP - 41 PY - 2021 DA - 2021/01 SN - 34 DO - http://doi.org/10.4208/jpde.v34.n1.2 UR - https://global-sci.org/intro/article_detail/jpde/18552.html KW - On free boundary problem, the non-Newtonian shear thickening fluids, vacuum. AB -

The aim of this paper is to explore the free boundary problem for the Non-Newtonian shear thickening fluids. These fluids not only have vacuum, but also have strong nonlinear properties. In this paper, a class of approximate solutions is first constructed, and some uniform estimates are obtained for these approximate solutions. Finally, the existence of free boundary problem solutions is proved by these uniform estimates.

Shu Wang & Fang Yuan. (2021). On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids. Journal of Partial Differential Equations. 34 (1). 14-41. doi:10.4208/jpde.v34.n1.2
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